217776480 has 96 divisors (see below), whose sum is σ = 722131200. Its totient is φ = 55014912.

The previous prime is 217776451. The next prime is 217776491. The reversal of 217776480 is 84677712.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2820 + ... + 21059.

It is an arithmetic number, because the mean of its divisors is an integer number (7522200).

Almost surely, 2^217776480 is an apocalyptic number.

217776480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217776480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361065600).

217776480 is an abundant number, since it is smaller than the sum of its proper divisors (504354720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

217776480 is a wasteful number, since it uses less digits than its factorization.

217776480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23916 (or 23908 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 42.

The square root of 217776480 is about 14757.2517766690. The cubic root of 217776480 is about 601.6403999484.

The spelling of 217776480 in words is "two hundred seventeen million, seven hundred seventy-six thousand, four hundred eighty".